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Finding the Fourth Proportional to 5.71, 8.57 and 1.70

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Solution

The fourth proportional to 5.71, 8.57 and 1.70 is: 2.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 8.57 = 1.70 : x
  2. Step 2: Convert to fraction form
    5.71/8.57 = 1.70/x
  3. Step 3: Cross multiply
    5.71x = 8.57 × 1.70
  4. Step 4: Simplify right side
    5.71x = 14.59
  5. Step 5: Solve for x
    x = 14.59/5.71
  6. Step 6: Final answer
    x = 2.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.